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During the recent years there was an increased interest in studying the performance of different types of control charts, under various distributional models for continuous proportions, such as percentages and rates. In this work we…

Methodology · Statistics 2025-02-05 Athanasios C. Rakitzis

Zero-inflated models are frequently used to deal with data having many zeros. A commonly used model for over-dispersed data containing zeros is known as the zero-inflated Poisson model. However, to account for the heterogeneity of counts…

Methodology · Statistics 2025-09-04 Ali Abbas , Sajid Ali , Ismail Shah

The monitoring of serially independent or autocorrelated count processes is considered, having a Poisson or (negative) binomial marginal distribution under in-control conditions. Utilizing the corresponding Stein identities, exponentially…

Methodology · Statistics 2024-01-23 Christian H. Weiß

To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

Methodology · Statistics 2013-07-30 Axel Gandy , Jan Terje Kvaløy

Over the years, the most popularly used control chart for statistical process control has been Shewhart's $\bar{X}-S$ or $\bar{X}-R$ chart along with its multivariate generalizations. But, such control charts suffer from the lack of…

Computation · Statistics 2012-11-20 Kushal Kr. Dey , Kumaresh Dhara , Bikram Karmakar , Sukalyan Sengupta

Monitoring the ratio of two normal random variables plays an important role in several manufacturing environments. For short production runs, however, the control charts assumed infinite processes cannot function effectively to detect…

Applications · Statistics 2020-10-06 K. D. Tran , Q. U. A Khaliq , A. A. Nadi , H Tran , K. P. Tran

Nonparametric or distribution-free charts can be useful in statistical process control problems when there is limited or lack of knowledge about the underlying process distribution. In this paper, a phase II Shewhart-type chart is…

Methodology · Statistics 2008-12-18 Subhabrata Chakraborti , Mark A. van de Wiel

The traditional variable control charts, such as the X-bar chart, are widely used to monitor variation in a process. They have been shown to perform well for monitoring processes under the general assumptions that the observations are…

Methodology · Statistics 2022-12-22 Chanseok Park , Linhan Ouyang , Min Wang

Control charts for process monitoring are widely used in practice. Most control charts require the monitored (residuals) process to be serially independent (and to satisfy specified distributional assumptions), whereas undetected dependence…

Methodology · Statistics 2026-05-27 Christian H. Weiß , José M. Amigó

In this note, we revisit the $g$ and $h$ control charts that are commonly used for monitoring the number of conforming cases between the two consecutive appearances of nonconformities. It is known that the process parameter of these charts…

Applications · Statistics 2021-01-25 Chanseok Park , Min Wang

This paper deals with phase II, univariate, statistical process control when a set of in-control data is available, and when both the in-control and out-of-control distributions of the process are unknown. Existing process control…

Applications · Statistics 2009-06-09 Snigdhansu Chatterjee , Peihua Qiu

Phase I distribution-free runs- and patterns-type control charts are proposed for monitoring the unknown target value (or location parameter) for both continuous and discrete individual observations. Our approach maintains the nominal…

Applications · Statistics 2025-11-18 Tung-Lung Wu

This paper investigates the data-driven predictive control problems for a class of continuous-time industrial processes with completely unknown dynamics. The proposed approach employs the data-driven technique to get the system matrices…

Optimization and Control · Mathematics 2020-12-08 Yuanqiang Zhou , Dewei Li , Yugeng Xi

In this work, we study the performance of two-sided EWMA charts for monitoring double bounded processes using individual observations. Specifically, the term double bounded refers to observations in the interval (0, 1) and thus, these…

Applications · Statistics 2022-06-17 Argyro Lafatzi , Athanasios Rakitzis

This paper proposes a control chart for monitoring percentiles of a process that follows a truncated beta distribution, utilizing a studentized parametric bootstrap method to account for the case when in-control parameters are unknown. To…

Methodology · Statistics 2025-08-01 Bidhan Modok , Amarjit Kundu , Shovan Chowdhury

The need to monitor industrial processes, detecting changes in process parameters in order to promptly correct problems that may arise, generates a particular area of interest. This is particularly critical and complex when the measured…

Applications · Statistics 2019-05-07 Javier Neira Rueda , Andres Carrion Garcia

This paper develops a new multivariate control charting method for vector autocorrelated and serially correlated processes. The main idea is to propose a Bayesian multivariate local level model, which is a generalization of the…

Methodology · Statistics 2008-02-05 K. Triantafyllopoulos

In many industrial manufacturing processes, the quality of products depends on the relation between two main ingredients or characteristics. Often, this calls for monitoring the ratio of two normal random variables with statistical process…

Applications · Statistics 2021-08-12 H. D. Nguyen , A. Ahmadi Nadi , K. P. Tran , P. Castagliola , G. Celano , K. D. Tran

This note introduces a new Bayesian control chart to compare two processes by monitoring the ratio of their percentiles under Weibull assumption. Both in-control and out-of-control parameters are supposed unknown. The chart analyses the…

Applications · Statistics 2015-07-01 Pasquale Erto

We study statistical process control (SPC) through charting of $p$-values. When in control (IC), any valid sequence $(P_{t})_{t}$ is super-uniform, a requirement that can hold in nonparametric and two-phase designs without parametric…

Methodology · Statistics 2026-01-27 Hien Duy Nguyen , Dan Wang
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